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Finding the Fourth Proportional to 9,495.84, 13,099.11 and 5,716.74

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Solution

The fourth proportional to 9,495.84, 13,099.11 and 5,716.74 is: 7,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.84 : 13,099.11 = 5,716.74 : x
  2. Step 2: Convert to fraction form
    9,495.84/13,099.11 = 5,716.74/x
  3. Step 3: Cross multiply
    9,495.84x = 13,099.11 × 5,716.74
  4. Step 4: Simplify right side
    9,495.84x = 74,884,206.10
  5. Step 5: Solve for x
    x = 74,884,206.10/9,495.84
  6. Step 6: Final answer
    x = 7,886.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.